IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i13p3811-d581706.html
   My bibliography  Save this article

New Time-Varying Sliding Surface for Switching Type Quasi-Sliding Mode Control

Author

Listed:
  • Katarzyna Adamiak

    (Institute of Automatic Control, Łódź University of Technology, 18/22 Bohdana Stefanowskiego St., 90-924 Łódź, Poland)

  • Andrzej Bartoszewicz

    (Institute of Automatic Control, Łódź University of Technology, 18/22 Bohdana Stefanowskiego St., 90-924 Łódź, Poland)

Abstract

This study considers the problem of energetical efficiency in switching type sliding mode control of discrete-time systems. The aim of this work is to reduce the quasi-sliding mode band-width and, as follows, the necessary control input, through an application of a new type of time-varying sliding hyperplane in quasi-sliding mode control of sampled time systems. Although time-varying sliding hyperplanes are well known to provide insensitivity to matched external disturbances and uncertainties of the model in the whole range of motion for continuous-time systems, their application in the discrete-time case has never been studied in detail. Therefore, this paper proposes a sliding surface, which crosses the system’s representative point at the initial step and then shifts in the state space according to the pre-generated demand profile of the sliding variable. Next, a controller for a real perturbed plant is designed so that it drives the system’s representative point to its reference position on the sliding plane in each step. Therefore, the impact of external disturbances on the system’s trajectory is minimized, which leads to a reduction of the necessary control effort. Moreover, thanks to a new reaching law applied in the reference profile generator, the sliding surface shift in each step is strictly limited and a switching type of motion occurs. Finally, under the assumption of boundedness and smoothness of continuous-time disturbance, a compensation scheme is added. It is proved that this control strategy reduces the quasi-sliding mode band-width from O ( T ) to O ( T 3 ) order from the very beginning of the regulation process. Moreover, it is shown that the maximum state variable errors become of O ( T 3 ) order as well. These achievements directly reduce the energy consumption in the closed-loop system, which is nowadays one of the crucial factors in control engineering.

Suggested Citation

  • Katarzyna Adamiak & Andrzej Bartoszewicz, 2021. "New Time-Varying Sliding Surface for Switching Type Quasi-Sliding Mode Control," Energies, MDPI, vol. 14(13), pages 1-20, June.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:13:p:3811-:d:581706
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/13/3811/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/14/13/3811/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Anh-Tuan Tran & Bui Le Ngoc Minh & Van Van Huynh & Phong Thanh Tran & Emmanuel Nduka Amaefule & Van-Duc Phan & Tam Minh Nguyen, 2021. "Load Frequency Regulator in Interconnected Power System Using Second-Order Sliding Mode Control Combined with State Estimator," Energies, MDPI, vol. 14(4), pages 1-17, February.
    2. Peng Gao & Guangming Zhang & Xiaodong Lv, 2021. "Model-Free Control Using Improved Smoothing Extended State Observer and Super-Twisting Nonlinear Sliding Mode Control for PMSM Drives," Energies, MDPI, vol. 14(4), pages 1-15, February.
    3. Saleh Mobayen & Farhad Bayat & Chun-Chi Lai & Asghar Taheri & Afef Fekih, 2021. "Adaptive Global Sliding Mode Controller Design for Perturbed DC-DC Buck Converters," Energies, MDPI, vol. 14(5), pages 1-12, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pawel Latosinski & Andrzej Bartoszewicz, 2023. "Sliding Mode Controllers in Energy Systems and Other Applications," Energies, MDPI, vol. 16(3), pages 1-4, January.
    2. Katarzyna Adamiak & Andrzej Bartoszewicz, 2022. "Novel Power-Rate Reaching Law for Quasi-Sliding Mode Control," Energies, MDPI, vol. 15(15), pages 1-14, July.
    3. Piotr Leśniewski & Andrzej Bartoszewicz, 2021. "Reaching Law Based Sliding Mode Control of Sampled Time Systems," Energies, MDPI, vol. 14(7), pages 1-19, March.
    4. Mateusz Pietrala & Piotr Leśniewski & Andrzej Bartoszewicz, 2021. "Sliding Mode Control with Minimization of the Regulation Time in the Presence of Control Signal and Velocity Constraints," Energies, MDPI, vol. 14(10), pages 1-23, May.
    5. Salah Beni Hamed & Mouna Ben Hamed & Lassaad Sbita, 2022. "Robust Voltage Control of a Buck DC-DC Converter: A Sliding Mode Approach," Energies, MDPI, vol. 15(17), pages 1-21, August.
    6. Zhiming Liao & Yue Hao & Tao Guo & Bingxin Lv & Qiang Wang, 2022. "Second-Order Sliding Mode Control of Permanent Magnet Synchronous Motor Based on Singular Perturbation," Energies, MDPI, vol. 15(21), pages 1-13, October.
    7. Habib Benbouhenni & Nicu Bizon, 2021. "Third-Order Sliding Mode Applied to the Direct Field-Oriented Control of the Asynchronous Generator for Variable-Speed Contra-Rotating Wind Turbine Generation Systems," Energies, MDPI, vol. 14(18), pages 1-20, September.
    8. Muhammad Majid Gulzar & Muhammad Iqbal & Sulman Shahzad & Hafiz Abdul Muqeet & Muhammad Shahzad & Muhammad Majid Hussain, 2022. "Load Frequency Control (LFC) Strategies in Renewable Energy-Based Hybrid Power Systems: A Review," Energies, MDPI, vol. 15(10), pages 1-23, May.
    9. Dobroslav Kováč & Tibor Vince & Matej Bereš & Ján Molnár & Jozef Dziak & Patrik Jacko & Irena Kováčová, 2022. "A Universal PSpice Simulation Model of a Switched Buck Voltage Regulator," Energies, MDPI, vol. 15(21), pages 1-19, November.
    10. Yujiao Zhao & Haisheng Yu & Shixian Wang, 2021. "An Improved Super-Twisting High-Order Sliding Mode Observer for Sensorless Control of Permanent Magnet Synchronous Motor," Energies, MDPI, vol. 14(19), pages 1-18, September.
    11. Eduardo Campos-Mercado & Edwin Fernando Mendoza-Santos & Jorge Antonio Torres-Muñoz & Edwin Román-Hernández & Víctor Iván Moreno-Oliva & Quetzalcoatl Hernández-Escobedo & Alberto-Jesus Perea-Moreno, 2021. "Nonlinear Controller for the Set-Point Regulation of a Buck Converter System," Energies, MDPI, vol. 14(18), pages 1-20, September.
    12. Shafqat Ali & Muhammad Taskeen Raza & Ghulam Abbas & Nasim Ullah & Sattam Al Otaibi & Hao Luo, 2022. "Sliding Mode Observer-Based Fault Detection in Continuous Time Linear Switched Systems," Energies, MDPI, vol. 15(3), pages 1-15, February.
    13. Katarzyna Adamiak & Andrzej Bartoszewicz, 2021. "Reference Trajectory Based Quasi-Sliding Mode with Event-Triggered Control," Energies, MDPI, vol. 14(21), pages 1-13, November.
    14. Yashar Mousavi & Geraint Bevan & Ibrahim Beklan Küçükdemiral & Afef Fekih, 2021. "Maximum Power Extraction from Wind Turbines Using a Fault-Tolerant Fractional-Order Nonsingular Terminal Sliding Mode Controller," Energies, MDPI, vol. 14(18), pages 1-16, September.
    15. Yuzhe Zhang & Xiaodong Liu & Haitao Li & Zhenbin Zhang, 2023. "A Model Independent Predictive Control of PMSG Wind Turbine Systems with a New Mechanism to Update Variables," Energies, MDPI, vol. 16(9), pages 1-15, April.
    16. Mokhtar Shouran & Fatih Anayi & Michael Packianather, 2021. "The Bees Algorithm Tuned Sliding Mode Control for Load Frequency Control in Two-Area Power System," Energies, MDPI, vol. 14(18), pages 1-29, September.
    17. Younes Zahraoui & Fardila M. Zaihidee & Mostefa Kermadi & Saad Mekhilef & Ibrahim Alhamrouni & Mehdi Seyedmahmoudian & Alex Stojcevski, 2023. "Optimal Tuning of Fractional Order Sliding Mode Controller for PMSM Speed Using Neural Network with Reinforcement Learning," Energies, MDPI, vol. 16(11), pages 1-17, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2021:i:13:p:3811-:d:581706. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.